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Table 2 Exact and approximate solutions for case 1 with \(\psi =0.5\)

From: Solutions of fractional order differential equations modeling temperature distribution in convective straight fins design

ξ Exact HPM [6] VIM [52] HPSTM [21] ANN–BHCS
0 0.886818884 0.8868 0.8868 0.886833 0.886818875
0.1 0.887927639 0.8879 0.8879 0.887942 0.887927630
0.2 0.891256675 0.8913 0.8912 0.891271 0.891256667
0.3 0.896814317 0.8968 0.8968 0.896829 0.896814309
0.4 0.904614462 0.9046 0.9046 0.904629 0.904614455
0.5 0.914676614 0.9147 0.9146 0.914691 0.914676608
0.6 0.927025934 0.9270 0.9270 0.92704 0.927025929
0.7 0.941693302 0.9417 0.9416 0.941707 0.941693297
0.8 0.958715394 0.9587 0.9587 0.958727 0.958715390
0.9 0.978134774 0.9781 0.9781 0.978142 0.978134769
1 1.000000000 1.0000 1.0000 1.000000 0.999999996